I
n
t
e
r
n
a
t
io
n
a
l
J
o
u
r
n
a
l
o
f
P
o
w
e
r
E
le
c
t
r
o
n
ic
s
a
n
d
Dr
iv
e
S
y
s
t
e
m
(
I
J
P
E
DS
)
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
,
p
p
.
3
1
1
~
3
2
1
I
S
S
N:
2
0
8
8
-
8
6
9
4
3
1
1
J
o
u
r
n
a
l
h
o
m
e
p
a
g
e
:
h
ttp
:
//ia
e
s
jo
u
r
n
a
l.
c
o
m/o
n
lin
e
/in
d
e
x
.
p
h
p
/I
J
P
E
DS
O
pt
i
m
a
l
Co
o
rdin
a
t
io
n
o
f
D
O
CR
f
o
r
Ra
dia
l
Dis
t
ribut
io
n
Sy
s
t
e
m
s
in
P
res
en
ce
o
f
T
C
SC
L
a
z
h
a
r
B
o
u
g
o
u
f
f
a
,
Ab
d
e
la
z
iz
Ch
a
g
h
i
L
S
P
-
IE
L
a
b
o
ra
t
o
ry
Re
s
e
a
rc
h
L
a
b
o
ra
t
o
ry
,
F
a
c
u
l
t
y
o
f
T
e
c
h
n
o
l
o
g
y
,
D
e
p
a
rt
m
e
n
t
o
f
E
l
e
c
t
ri
c
a
l
o
f
E
n
g
i
n
e
e
ri
n
g
,
U
n
i
v
e
rs
i
t
y
o
f
Ba
t
n
a
,
A
l
g
e
ri
a
Ar
t
ic
le
I
n
f
o
AB
S
T
RAC
T
A
r
tic
le
h
is
to
r
y
:
R
e
c
e
iv
e
d
D
e
c
2
,
2
0
1
5
R
e
v
i
s
e
d
M
a
r
1
9
,
2
0
1
5
A
c
c
e
p
te
d
A
p
r
4
,
2
0
1
6
P
r
o
t
e
c
t
i
v
e
re
l
a
y
s
c
o
o
rd
i
n
a
t
i
o
n
i
s
t
h
e
p
r
o
c
e
s
s
o
f
d
e
t
e
r
m
i
n
i
n
g
t
h
e
e
x
a
c
t
re
l
a
y
s
e
t
t
i
n
g
s
s
u
c
h
t
h
a
t
t
h
e
re
l
a
y
c
l
o
s
e
s
t
o
t
h
e
f
a
u
l
t
w
o
u
l
d
o
p
e
ra
t
e
s
f
a
s
t
e
r
t
h
a
n
o
t
h
e
r
re
l
a
y
s
.
T
h
e
o
p
e
ra
t
i
n
g
t
i
m
e
o
f
e
a
c
h
re
l
a
y
d
e
p
e
n
d
s
o
n
t
w
o
i
n
d
e
p
e
n
d
e
n
t
v
a
ri
a
b
l
e
s
c
a
l
l
e
d
P
i
c
k
u
p
c
u
rre
n
t
(
Ip
)
a
n
d
T
i
m
e
D
i
a
l
S
e
t
t
i
n
g
(
T
D
S
)
.
In
t
h
i
s
p
a
p
e
r,
a
P
S
O
a
l
g
o
ri
t
h
m
h
a
s
b
e
e
n
p
re
s
e
n
t
e
d
t
o
d
e
t
e
rm
i
n
e
t
h
e
c
o
o
r
d
i
n
a
t
i
o
n
o
f
D
i
re
c
t
i
o
n
a
l
O
v
e
r
-
Cu
rre
n
t
Re
l
a
y
s
(
D
O
CRs
)
i
n
p
re
s
e
n
c
e
o
f
m
u
l
t
i
-
s
y
s
t
e
m
F
A
C
T
S
d
e
v
i
s
e
s
.
F
ro
m
t
h
e
s
i
m
u
l
a
t
i
o
n
re
s
u
l
t
a
n
d
a
n
a
l
y
s
i
s
,
t
h
e
i
m
p
a
c
t
o
f
T
CS
C
l
o
c
a
t
i
o
n
i
n
t
h
e
i
n
3
3
-
b
u
s
d
i
s
t
ri
b
u
t
i
o
n
s
y
s
t
e
m
o
n
D
i
re
c
t
i
o
n
a
l
O
v
e
r
-
Cu
rre
n
t
Re
l
a
y
s
h
a
s
b
e
e
n
o
b
s
e
rv
e
d
o
n
t
h
e
o
p
t
i
m
a
l
re
l
a
y
s
s
e
t
t
i
n
g
s
a
s
w
e
l
l
a
s
t
h
e
e
ffe
c
t
i
v
e
n
e
s
s
o
f
t
h
e
p
ro
p
o
s
e
d
a
l
g
o
ri
t
h
m
i
n
f
i
n
d
i
n
g
o
p
t
i
m
a
l
c
o
o
rd
i
n
a
t
i
o
n
o
f
d
i
re
c
t
i
o
n
a
l
o
v
e
r
-
c
u
rre
n
t
re
l
a
y
s
.
K
e
y
w
o
r
d
:
Dis
tr
ib
u
tio
n
s
y
s
te
m
DOC
R
s
Op
ti
m
a
l
c
o
o
r
d
in
a
tio
n
P
S
O
T
C
S
C
Co
p
y
r
i
g
h
t
©
2
0
1
6
In
s
t
i
t
u
t
e
o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
r
i
n
g
a
n
d
S
c
i
e
n
c
e
.
A
l
l
r
i
g
h
t
s
r
e
s
e
r
v
e
d
.
C
o
r
r
e
s
p
o
n
d
in
g
A
u
th
o
r
:
L
a
z
h
a
r
B
o
u
g
o
u
f
f
a
,
L
S
P
-
I
E
L
a
b
o
r
a
to
r
y
R
e
s
e
a
r
c
h
L
a
b
o
r
a
to
r
y
,
F
a
c
u
lt
y
o
f
T
e
c
h
n
o
lo
g
y
,
De
p
a
r
t
m
e
n
t
o
f
E
le
c
tr
ic
a
l
o
f
E
n
g
i
n
e
e
r
i
n
g
,
Un
i
v
e
r
s
it
y
o
f
B
a
tn
a
,
S
tr
e
e
t
E
l
Ha
d
i
B
o
u
k
h
lo
u
f
,
0
5
0
0
0
,
B
a
tn
a
-
A
lg
e
r
ia
E
m
a
il:
b
la
z
h
a
r
2
0
1
0
@
g
m
a
il.
c
o
m
1
.
I
NT
RO
D
UCT
I
O
N
T
h
e
e
q
u
ip
m
e
n
ts
o
f
e
le
c
tr
ic
p
o
w
e
r
s
y
s
te
m
s
r
e
p
r
e
s
e
n
t
s
o
m
e
o
f
t
h
e
o
ld
e
s
t
in
d
u
s
tr
ia
l
m
a
c
h
i
n
e
r
y
s
ti
ll
i
n
g
e
n
e
r
a
l
u
s
e
to
d
a
y
.
An
o
th
e
r
d
i
m
e
n
s
io
n
o
f
a
u
to
m
a
tio
n
in
th
e
c
a
s
e
o
f
tr
a
n
s
m
i
s
s
io
n
s
y
s
te
m
s
i
s
th
e
d
ir
e
c
t
m
o
d
i
f
ic
a
t
io
n
o
f
t
h
e
g
r
id
’
s
p
r
o
p
e
r
tie
s
w
ith
t
h
e
a
id
o
f
s
o
li
d
-
s
ta
te
te
c
h
n
o
lo
g
y
e
s
s
e
n
tia
ll
y
;
v
a
r
io
u
s
t
y
p
e
s
o
f
tr
a
n
s
i
s
to
r
s
s
c
a
le
d
u
p
a
n
d
c
o
m
b
in
e
d
to
h
a
n
d
le
la
r
g
e
p
o
w
e
r
a
p
p
lic
a
tio
n
s
i
n
a
n
e
w
c
a
te
g
o
r
y
o
f
e
q
u
ip
m
e
n
t
s
c
a
lle
d
f
le
x
ib
le
A
.
C
.
tr
a
n
s
m
i
s
s
io
n
s
y
s
te
m
s
(
F
A
C
T
S
)
.
T
r
a
n
s
m
is
s
io
n
lin
e
s
g
e
n
e
r
a
ll
y
h
a
v
e
p
h
y
s
ic
a
ll
y
f
ix
e
d
p
a
r
a
m
e
te
r
s
s
u
c
h
le
n
g
t
h
a
n
d
i
m
p
e
d
a
n
c
e
th
a
t
b
e
c
o
m
e
f
ir
m
c
o
n
s
tr
a
i
n
ts
i
n
m
o
d
e
li
n
g
a
n
d
a
n
a
l
y
s
is
.
Ot
h
e
r
c
o
m
p
o
n
e
n
t
s
s
u
c
h
a
s
tr
a
n
s
f
o
r
m
e
r
s
a
n
d
c
a
p
a
c
ito
r
s
m
a
y
h
a
v
e
v
a
r
ia
b
le
s
ta
te
s
o
r
s
e
tti
n
g
s
,
b
u
t
c
o
n
v
e
n
tio
n
a
ll
y
th
e
s
e
s
e
tti
n
g
s
a
r
e
d
is
c
r
e
te
a
n
d
r
e
q
u
ir
e
m
e
c
h
a
n
ic
a
l
s
w
i
tc
h
in
g
.
F
A
C
T
S
te
c
h
n
o
lo
g
y
o
f
f
e
r
s
w
a
y
s
to
m
o
d
i
f
y
t
h
e
e
le
c
tr
ic
a
l
c
h
a
r
a
c
te
r
is
tic
s
o
f
tr
a
n
s
m
is
s
io
n
c
o
m
p
o
n
e
n
t
s
m
u
c
h
m
o
r
e
r
a
p
id
ly
,
e
v
e
n
in
r
e
a
l
ti
m
e
,
s
o
a
s
to
in
c
r
e
a
s
e
o
p
e
r
a
tin
g
e
f
f
ic
ie
n
c
y
a
n
d
r
e
lie
v
e
c
o
n
s
tr
a
in
t
s
w
it
h
o
u
t
th
e
n
e
e
d
f
o
r
a
d
d
in
g
m
a
j
o
r
e
q
u
ip
m
e
n
t
s
.
F
AC
T
S
d
e
v
ic
e
s
i
n
c
lu
d
e
v
a
r
io
u
s
t
y
p
e
s
o
f
r
e
a
c
tiv
e
c
o
m
p
e
n
s
a
tio
n
,
p
h
a
s
e
s
h
i
f
ti
n
g
,
a
n
d
p
o
w
e
r
f
lo
w
c
o
n
tr
o
l
[
1
]
.
T
h
e
b
a
s
ic
ta
s
k
o
f
th
e
O
v
e
r
-
C
u
r
r
e
n
t
r
e
la
y
s
(
O
C
R
)
i
s
to
s
e
n
s
e
f
a
u
lts
o
n
th
e
l
in
e
s
a
n
d
to
r
a
p
id
l
y
is
o
la
te
th
e
s
e
f
a
u
lt
s
b
y
o
p
e
n
i
n
g
a
l
l
t
h
e
c
u
r
r
e
n
t
p
a
th
s
.
T
h
is
s
e
n
s
in
g
a
n
d
s
w
i
tc
h
in
g
m
u
s
t
o
c
c
u
r
a
s
f
a
s
t
a
s
p
o
s
s
ib
le
to
m
i
n
i
m
iz
e
d
a
m
a
g
e
.
Ho
w
e
v
e
r
,
it
s
h
o
u
ld
b
e
v
e
r
y
s
e
le
c
t
iv
e
s
o
n
o
m
o
r
e
o
f
th
e
n
e
t
w
o
r
k
i
s
r
e
m
o
v
e
d
f
r
o
m
s
e
r
v
ic
e
th
a
n
i
s
n
e
c
e
s
s
a
r
y
.
I
n
o
r
d
e
r
to
i
n
c
r
e
a
s
e
r
e
lia
b
ilit
y
,
t
h
is
n
e
e
d
h
a
s
le
d
to
th
e
p
r
a
c
tic
e
o
f
p
r
o
v
i
d
in
g
b
o
th
“
p
r
i
m
a
r
y
”
p
r
o
te
c
tio
n
s
w
it
h
“
b
a
c
k
u
p
”
p
r
o
te
c
tio
n
w
h
ic
h
s
h
o
u
ld
f
u
n
c
t
io
n
o
n
l
y
if
o
n
e
o
f
t
h
e
p
r
i
m
a
r
y
d
e
v
ic
e
s
f
a
il
s
.
O
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
a
r
e
c
la
s
s
i
f
ie
d
o
n
th
e
b
a
s
i
s
o
f
t
h
e
ir
o
p
e
r
a
tio
n
ti
m
e
,
in
th
e
f
o
llo
w
i
n
g
th
r
e
e
c
a
te
g
o
r
ie
s
:
I
n
s
ta
n
ta
n
e
o
u
s
Ov
e
r
-
c
u
r
r
e
n
t
R
e
la
y
(
I
OR
)
,
De
f
i
n
ite
T
i
m
e
O
v
e
r
-
c
u
r
r
e
n
t
R
e
la
y
(
DT
OC
)
a
n
d
I
n
v
e
r
s
e
De
f
i
n
it
e
M
in
i
m
u
m
T
i
m
e
(
I
DM
T
)
Ov
e
r
-
c
u
r
r
e
n
t
R
e
la
y
;
t
h
is
r
e
la
y
h
a
s
a
n
i
n
v
e
r
s
e
ti
m
e
c
h
a
r
a
c
te
r
is
tic
.
T
h
is
m
e
a
n
s
th
a
t
th
e
r
e
la
y
o
p
e
r
a
tin
g
ti
m
e
is
i
n
v
e
r
s
e
l
y
p
r
o
p
o
r
tio
n
a
l
to
th
e
f
a
u
l
t
c
u
r
r
e
n
t
[
2
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
P
E
DS
I
S
S
N:
2
0
8
8
-
8
6
9
4
Op
tima
l
C
o
o
r
d
in
a
tio
n
o
f
DO
C
R
fo
r
R
a
d
ia
l
Dis
tr
ib
u
tio
n
S
y
s
te
ms
in
P
r
e
s
e
n
c
e
o
f
T
C
S
C
(
L
a
z
h
a
r
B
o
u
g
o
u
ffa
)
3
1
2
2
.
D
I
RE
CT
I
O
NAL
O
V
E
RCU
RRE
N
T
RE
L
AY
S
Dir
e
c
tio
n
a
l
Ov
e
r
-
C
u
r
r
e
n
t
R
e
la
y
s
(
DO
C
R
)
c
o
o
r
d
in
a
tio
n
p
r
o
b
le
m
is
a
p
a
r
a
m
e
tr
ic
o
p
ti
m
iz
a
t
io
n
p
r
o
b
le
m
,
w
h
e
r
e
d
if
f
e
r
e
n
t
c
o
n
s
tr
a
in
ts
h
a
v
e
to
b
e
c
o
n
s
id
e
r
e
d
in
s
o
l
v
i
n
g
th
e
o
b
j
e
c
tiv
e
f
u
n
c
t
io
n
[
3
]
-
[
4
]
.
He
r
e
th
e
o
b
j
e
c
tiv
e
f
u
n
c
tio
n
to
b
e
m
i
n
i
m
iz
e
d
is
th
e
s
u
m
o
f
t
h
e
o
p
e
r
a
tin
g
ti
m
e
s
o
f
t
h
e
r
e
la
y
s
c
o
n
n
e
c
te
d
to
th
e
s
y
s
te
m
,
s
u
b
j
e
c
t
to
c
o
n
s
tr
a
in
t
s
.
A
t
y
p
i
c
a
l
in
v
e
r
s
e
ti
m
e
d
ir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
h
a
s
t
w
o
u
n
it
s
,
a
n
in
s
ta
n
ta
n
e
o
u
s
u
n
i
t
(
ti
m
e
in
d
e
p
e
n
d
e
n
t
)
a
n
d
a
n
i
n
v
e
r
s
e
o
v
e
r
-
c
u
r
r
e
n
t
u
n
it
(
ti
m
e
d
e
p
e
n
d
e
n
t
)
.
T
h
e
i
n
s
ta
n
ta
n
e
o
u
s
u
n
it
o
p
e
r
a
te
s
w
it
h
n
o
i
n
te
n
tio
n
a
l
t
i
m
e
-
d
e
la
y
w
h
e
n
c
u
r
r
e
n
t
is
a
b
o
v
e
a
p
r
e
d
e
f
in
e
d
th
r
e
s
h
o
ld
v
a
l
u
e
,
k
n
o
w
n
a
s
t
h
e
in
s
ta
n
ta
n
e
o
u
s
c
u
r
r
e
n
t
s
e
tti
n
g
.
T
im
e
-
d
e
la
y
u
n
it
is
u
s
e
d
f
o
r
c
u
r
r
e
n
t,
w
h
ic
h
is
b
e
lo
w
t
h
e
i
n
s
ta
n
ta
n
e
o
u
s
c
u
r
r
e
n
t
s
e
tti
n
g
b
u
t
e
x
c
e
e
d
s
th
e
n
o
r
m
a
l
f
lo
w
d
u
e
to
a
f
a
u
lt.
T
h
is
u
n
it
o
p
e
r
a
te
s
a
t
th
e
o
c
c
u
r
r
e
n
c
e
o
f
a
f
a
u
lt
w
it
h
a
n
in
te
n
tio
n
a
l
ti
m
e
-
d
e
la
y
[
5
]
.
T
w
o
s
e
tti
n
g
s
a
r
e
a
s
s
o
c
ia
te
d
w
i
th
t
h
e
t
i
m
e
-
d
e
la
y
u
n
i
t,
w
h
ic
h
a
r
e
th
e
T
i
m
e
d
ia
l
s
e
tti
n
g
(
T
DS
)
a
n
d
B
a
c
k
u
p
c
u
r
r
e
n
t
s
e
tti
n
g
(
I
P
)
.
T
h
e
p
ic
k
u
p
v
a
l
u
e
i
s
th
e
m
in
i
m
u
m
v
a
lu
e
o
f
c
u
r
r
e
n
t
f
o
r
w
h
ic
h
th
e
r
e
la
y
o
p
e
r
a
te
s
.
T
h
e
t
i
m
e
d
i
a
l
s
e
tt
in
g
d
e
f
in
e
s
th
e
o
p
e
r
a
tin
g
ti
m
e
(
T
)
o
f
th
e
r
e
la
y
f
o
r
e
a
c
h
c
u
r
r
e
n
t
v
a
lu
e
.
T
h
e
o
p
e
r
a
tin
g
ti
m
e
(
T
)
o
f
a
D
OC
R
i
s
a
n
o
n
-
li
n
e
a
r
f
u
n
c
tio
n
o
f
th
e
r
e
la
y
s
e
tti
n
g
s
(
T
im
e
Di
a
l
S
e
ttin
g
s
(
T
DS
)
a
n
d
p
ic
k
u
p
c
u
r
r
e
n
t
(
I
P
)
a
n
d
th
e
f
a
u
lt
c
u
r
r
e
n
t
(
I
F
)
s
e
e
n
b
y
th
e
r
e
la
y
.
T
h
u
s
,
th
e
r
e
la
y
o
p
e
r
a
tin
g
ti
m
e
e
q
u
a
tio
n
f
o
r
a
DOC
R
i
s
g
i
v
e
n
b
y
[
6
]
:
0
.
0
2
f
p
0
.
1
4
t
=
T
D
S
×
I
-
1
K
C
T
I
×
(
1
)
W
h
e
r
e
KC
T
is
th
e
c
u
r
r
e
n
t
tr
a
n
s
f
o
r
m
e
r
r
a
tio
.
T
h
e
r
e
q
u
ir
e
m
e
n
t
o
f
s
e
le
c
tiv
it
y
d
ic
ta
te
s
t
h
a
t
w
h
e
n
a
f
a
u
l
t
o
c
c
u
r
s
,
t
h
e
a
r
e
a
is
o
la
te
d
b
y
t
h
e
p
r
o
te
c
tiv
e
r
e
la
y
m
u
s
t
b
e
a
s
s
m
a
ll
a
s
p
o
s
s
ib
le
,
w
i
th
o
n
l
y
t
h
e
p
r
i
m
a
r
y
p
r
o
te
c
tio
n
r
e
la
y
o
p
e
r
a
tin
g
.
I
n
a
d
d
itio
n
,
th
e
f
a
i
lu
r
e
p
o
s
s
ib
ilit
y
o
f
a
p
r
o
te
c
tiv
e
r
e
la
y
m
u
s
t
b
e
c
o
n
s
id
e
r
e
d
.
I
n
th
i
s
s
i
tu
a
t
io
n
,
a
n
o
th
e
r
r
e
la
y
m
u
s
t
o
p
e
r
a
te
a
s
b
a
c
k
u
p
p
r
o
te
c
tio
n
.
I
n
o
r
d
e
r
to
s
a
tis
f
y
t
h
e
r
e
q
u
ir
e
m
e
n
t
o
f
s
e
le
c
ti
v
it
y
,
t
h
e
f
o
llo
w
i
n
g
c
o
n
s
tr
a
i
n
t
m
u
s
t
b
e
a
d
d
e
d
[
7
]
-
[
8
]
:
F
1
F
1
b
a
c
k
-
u
p
p
r
i
m
a
r
y
-
C
T
I
T
T
(
2
)
F
1
F
1
j
i
-
C
T
I
T
T
(
3
)
W
h
e
r
e
T
j
F
1
-
T
i
F
1
a
r
e
th
e
o
p
e
r
a
tin
g
ti
m
e
s
o
f
it
h
p
r
i
m
a
r
y
r
e
la
y
T
i
F1
a
n
d
j
th
b
a
c
k
u
p
r
e
la
y
T
j
F1
r
e
s
p
e
c
tiv
e
l
y
f
o
r
th
e
n
e
a
r
-
e
n
d
f
a
u
lt
F
1
a
s
s
h
o
w
n
i
n
F
i
g
u
r
e
2
.
F
ig
u
r
e
1
.
P
r
im
a
r
y
a
n
d
b
a
c
k
u
p
r
e
la
y
s
T
h
e
C
o
o
r
d
in
a
tio
n
T
i
m
e
I
n
te
r
v
a
l
(
C
T
I
)
is
t
h
e
m
in
i
m
u
m
ti
m
e
g
a
p
in
o
p
e
r
a
tio
n
b
e
t
w
e
e
n
th
e
p
r
i
m
a
r
y
a
n
d
it
s
b
a
c
k
u
p
r
e
la
y
.
C
T
I
d
e
p
e
n
d
s
u
p
o
n
t
y
p
e
o
f
r
e
la
y
s
,
s
p
e
e
d
o
f
t
h
e
c
ir
c
u
it
b
r
e
a
k
e
r
a
n
d
a
s
a
f
e
t
y
m
a
r
g
i
n
w
h
ic
h
is
u
s
u
a
ll
y
s
e
le
c
te
d
b
e
t
w
e
e
n
0
.
2
s
a
n
d
0
.
5
s
[
5
]
.
T
h
e
li
m
its
o
n
t
h
e
r
e
la
y
p
a
r
a
m
e
te
r
c
a
n
b
e
p
r
e
s
e
n
te
d
a
s
f
o
llo
ws
:
m
i
n
m
a
x
i
i
i
T
D
S
T
D
S
T
D
S
(
4
)
m
i
n
m
a
x
P
i
P
i
P
i
I
I
I
(
5
)
R
j
1
R
j
m
R
j
2
R
i
F
1
R
K
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
6
9
4
I
J
P
E
DS
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
:
3
1
1
–
3
2
1
3
1
3
T
h
e
m
in
i
m
u
m
p
ic
k
u
p
c
u
r
r
e
n
t
s
e
ttin
g
o
f
t
h
e
r
e
la
y
(
I
P
i
mi
n
)
is
th
e
m
a
x
i
m
u
m
v
a
l
u
e
b
e
t
w
e
e
n
t
h
e
m
i
n
i
m
u
m
a
v
a
ila
b
le
c
u
r
r
e
n
t
s
e
ttin
g
a
n
d
t
h
e
m
a
x
i
m
u
m
lo
a
d
c
u
r
r
e
n
t
m
a
x
(
I
loadi
max
,
I
P
i
mi
n
)
.
I
n
s
i
m
ila
r
,
th
e
m
a
x
i
m
u
m
p
ic
k
u
p
c
u
r
r
e
n
t
s
e
tt
in
g
(
I
P
i
m
ax
)
is
c
h
o
s
e
n
a
s
th
e
m
i
n
i
m
u
m
v
a
l
u
e
b
e
t
w
e
e
n
t
h
e
m
a
x
i
m
u
m
a
v
a
ila
b
le
c
u
r
r
e
n
t
s
e
t
tin
g
o
f
t
h
e
r
e
la
y
a
n
d
th
e
m
i
n
i
m
u
m
m
e
a
s
u
r
e
d
f
a
u
lt
c
u
r
r
e
n
t
m
a
x
(
I
F
aulti
min
,
I
P
i
m
ax
)
[
9
]
.
T
h
e
T
DS
is
a
s
s
u
m
e
d
to
v
a
r
y
b
e
t
w
e
e
n
a
m
in
i
m
u
m
v
a
l
u
e
o
f
0
.
0
5
a
n
d
m
a
x
i
m
u
m
v
a
lu
e
o
f
1
.
2
.
T
h
e
p
ic
k
u
p
c
u
r
r
e
n
t
s
e
tti
n
g
I
p
is
a
s
s
u
m
e
d
to
v
a
r
y
b
e
t
w
e
e
n
a
m
in
i
m
u
m
v
a
lu
e
0
.
2
5
a
n
d
m
a
x
i
m
u
m
v
a
l
u
e
o
f
2
.
5
w
it
h
s
te
p
o
f
0
.
2
5
.
3
.
O
P
E
RAT
I
O
N
O
F
T
H
YRI
S
T
O
R
CO
NT
RO
L
L
E
D
S
E
R
I
E
S
CAP
AC
I
T
O
R
T
h
e
T
C
S
C
in
s
ta
lle
d
i
n
t
h
e
s
y
s
te
m
is
c
o
n
s
is
te
d
a
s
a
s
e
r
ie
s
c
o
m
p
e
n
s
a
ti
n
g
c
a
p
a
c
ito
r
(
C
)
s
h
u
n
te
d
b
y
a
th
y
r
i
s
to
r
c
o
n
tr
o
lle
d
r
e
a
c
to
r
(
T
C
R
)
a
s
s
h
o
w
n
in
F
ig
u
r
e
2
a
n
d
is
p
la
c
e
d
in
s
e
r
ie
s
o
n
a
tr
a
n
s
m
i
s
s
io
n
l
in
e
[
1
0
]
.
F
ig
u
r
e
2
.
B
a
s
ic
T
C
S
C
s
c
h
e
m
e
T
C
S
C
h
a
s
f
o
u
r
o
p
e
r
a
tio
n
m
o
d
e
s
:
B
lo
c
k
in
g
,
B
y
p
a
s
s
,
C
a
p
a
c
itiv
e
a
n
d
I
n
d
u
c
ti
v
e
m
o
d
e
.
T
h
e
f
o
u
r
o
p
e
r
a
tio
n
m
o
d
e
s
a
r
e
m
a
d
e
b
y
th
e
f
ir
in
g
a
n
g
le
(
α
)
o
f
t
h
y
r
is
to
r
s
[
1
1
]
.
I
n
b
lo
c
k
i
n
g
m
o
d
e
th
e
f
ir
i
n
g
a
n
g
le
o
f
th
e
t
h
y
r
i
s
to
r
s
i
s
9
0
°
.
T
h
e
T
C
S
C
i
m
p
e
d
a
n
c
e
w
i
ll
b
e
e
q
u
a
l
to
c
a
p
a
c
ita
n
c
e
r
e
a
c
ta
n
c
e
X
C
.
W
h
e
n
t
w
o
a
n
ti
-
p
a
r
a
lle
l
t
h
y
r
i
s
t
o
r
s
a
r
e
o
n
in
a
ll
ti
m
e
th
a
t
t
h
e
y
h
a
v
e
tu
r
n
in
g
o
n
c
o
n
d
itio
n
,
th
e
T
C
S
C
w
il
l
o
p
e
r
a
te
in
B
y
p
a
s
s
m
o
d
e
.
T
h
e
t
h
y
r
is
to
r
s
c
o
n
d
u
c
t
1
8
0
°
d
e
g
r
e
e
in
e
a
c
h
c
y
c
le
.
I
f
th
e
f
ir
i
n
g
a
n
g
le
o
f
t
h
e
th
y
r
is
to
r
s
is
g
r
e
a
te
r
th
a
n
z
e
r
o
a
n
d
s
m
a
lle
r
t
h
a
n
9
0
d
e
g
r
e
e
,
th
e
i
m
p
e
d
a
n
c
e
o
f
T
C
R
b
r
a
n
c
h
i
n
f
u
n
d
a
m
e
n
ta
l
f
r
e
q
u
e
n
c
y
w
ill
b
e
g
iv
e
n
b
y
e
q
u
a
tio
n
(
6
)
in
w
ic
h
α
i
s
t
h
e
f
ir
i
n
g
d
e
la
y
a
n
g
le
w
it
h
r
e
s
p
e
c
t
to
z
e
r
o
c
r
o
s
s
in
g
o
f
th
e
lin
e
c
u
r
r
e
n
t
[
1
0
]
.
L
L
L
L
π
(
α
)
=
,
(
α
)
X
X
X
X
π
-
2
α
-
S
i
n
2
α
≤
≤
∞
(
6
)
4
.
P
ART
I
C
L
E
S
WA
RM
O
P
T
I
M
I
S
AT
I
O
N
T
h
e
P
a
r
tic
le
S
w
a
r
m
Op
ti
m
i
z
a
tio
n
(
P
S
O
)
,
w
h
ic
h
h
a
s
g
a
in
e
d
r
a
p
id
p
o
p
u
la
r
it
y
a
s
a
n
e
f
f
ic
ie
n
t
o
p
tim
iz
a
tio
n
te
c
h
n
iq
u
e
,
is
r
e
l
a
tiv
e
l
y
a
r
e
c
e
n
t
h
e
u
r
i
s
tic
m
e
t
h
o
d
in
tr
o
d
u
c
e
d
b
y
E
b
e
r
h
a
r
t
a
n
d
Ke
n
n
e
d
y
[
1
2
]
.
P
S
O
h
a
s
a
f
le
x
ib
le
a
n
d
w
e
ll
-
b
a
la
n
c
e
d
m
e
c
h
a
n
i
s
m
to
e
n
h
a
n
c
e
a
n
d
a
d
a
p
t
th
e
g
lo
b
a
l
a
n
d
lo
c
a
l
e
x
p
lo
r
a
tio
n
a
n
d
e
x
p
lo
ita
tio
n
a
b
il
itie
s
w
it
h
i
n
a
s
h
o
r
t
c
a
lc
u
la
tio
n
ti
m
e
.
T
h
e
m
a
in
a
d
v
a
n
ta
g
e
s
o
f
P
S
O
a
l
g
o
r
ith
m
a
r
e
s
u
m
m
a
r
iz
e
d
a
s
:
s
i
m
p
le
c
o
n
c
e
p
t,
e
a
s
y
i
m
p
l
e
m
e
n
ta
tio
n
,
r
o
b
u
s
tn
e
s
s
to
c
o
n
tr
o
l
p
a
r
a
m
e
te
r
s
.
I
n
P
S
O
a
l
g
o
r
ith
m
:
t
h
e
i
n
d
iv
id
u
a
l
b
e
s
t
(
p
best
)
a
n
d
th
e
g
lo
b
a
l
b
e
s
t
(
g
best
)
a
r
e
u
s
e
d
.
A
s
a
p
a
r
tic
le
m
o
v
e
s
t
h
r
o
u
g
h
t
h
e
s
e
a
r
c
h
s
p
a
c
e
,
it
c
o
m
p
a
r
e
s
it
s
f
it
n
e
s
s
v
a
l
u
e
a
t
th
e
c
u
r
r
e
n
t
p
o
s
itio
n
to
t
h
e
b
e
s
t
f
it
n
e
s
s
v
a
lu
e
it
h
a
s
e
v
e
r
a
tta
in
e
d
p
r
e
v
io
u
s
l
y
.
T
h
e
b
e
s
t
p
o
s
itio
n
th
a
t
is
a
s
s
o
c
ia
te
d
w
it
h
t
h
e
b
e
s
t
f
it
n
e
s
s
e
n
c
o
u
n
te
r
e
d
s
o
f
a
r
is
c
a
lle
d
th
e
p
best
.
T
h
e
g
best
,
is
th
e
b
e
s
t
p
o
s
itio
n
a
m
o
n
g
a
ll
o
f
t
h
e
i
n
d
iv
id
u
a
l’
s
b
e
s
t
p
o
s
itio
n
s
a
c
h
ie
v
e
d
s
o
f
a
r
.
E
a
c
h
p
a
r
tic
le
u
p
d
a
te
s
it
s
p
o
s
itio
n
b
a
s
e
d
u
p
o
n
it
s
o
w
n
b
e
s
t
p
o
s
itio
n
,
g
lo
b
a
l
b
e
s
t
p
o
s
iti
o
n
a
m
o
n
g
p
a
r
tic
le
s
a
n
d
its
p
r
e
v
io
u
s
v
e
lo
c
it
y
v
e
c
to
r
a
c
c
o
r
d
in
g
to
th
e
f
o
llo
w
i
n
g
e
q
u
a
tio
n
s
:
1
1
1
2
2
(
)
(
)
k
k
b
e
s
t
k
i
i
i
b
e
s
t
k
i
i
v
w
v
c
r
p
s
c
r
g
s
(
7
)
1
1
k
k
k
i
i
i
s
s
v
c
(
8
)
W
h
e
r
e
,
1
k
i
v
:
T
h
e
v
e
lo
c
it
y
o
f
t
h
i
p
a
r
tic
le
a
t
(
1
)
t
h
k
ite
r
a
tio
n
T
2
I
l
i
n
e
T
C
S
C
T
1
i
C
(
α
)
=
i
+
i
L
(
α
)
L
s
C
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
P
E
DS
I
S
S
N:
2
0
8
8
-
8
6
9
4
Op
tima
l
C
o
o
r
d
in
a
tio
n
o
f
DO
C
R
fo
r
R
a
d
ia
l
Dis
tr
ib
u
tio
n
S
y
s
te
ms
in
P
r
e
s
e
n
c
e
o
f
T
C
S
C
(
L
a
z
h
a
r
B
o
u
g
o
u
ffa
)
3
1
4
w
:
I
n
e
r
tia
w
e
ig
h
t
o
f
t
h
e
p
a
r
tic
le
k
i
v
:
T
h
e
v
e
lo
c
it
y
o
f
t
h
i
p
a
r
tic
le
a
t
t
h
k
ite
r
a
tio
n
1
,
2
c
c
:
P
o
s
itiv
e
c
o
n
s
ta
n
t
s
h
a
v
i
n
g
v
a
l
u
e
s
b
e
t
w
e
e
n
[
0
,
2
.
5
]
1
2
,
r
r
:
R
a
n
d
o
m
l
y
g
e
n
e
r
a
te
d
n
u
m
b
e
r
s
b
e
t
w
e
e
n
[
0
,
1
]
i
b
e
s
t
p
:
T
h
e
b
e
s
t
p
o
s
itio
n
o
f
th
e
t
h
i
p
a
r
tic
le
o
b
ta
in
e
d
b
a
s
e
d
u
p
o
n
its
o
w
n
e
x
p
e
r
ie
n
c
e
b
e
s
t
g
:
Glo
b
a
l
b
e
s
t
p
o
s
itio
n
o
f
th
e
p
a
r
tic
le
in
t
h
e
p
o
p
u
la
tio
n
1
k
i
s
:
T
h
e
p
o
s
itio
n
o
f
t
h
i
p
a
r
tic
le
a
t
(
1
)
t
h
k
ite
r
a
tio
n
k
i
x
:
T
h
e
p
o
s
itio
n
o
f
t
h
i
p
a
r
tic
le
a
t
t
h
k
ite
r
a
tio
n
c
:
C
o
n
s
tr
ic
tio
n
f
a
c
to
r
.
I
t
m
a
y
h
e
lp
in
s
u
r
e
c
o
n
v
e
r
g
e
n
c
e
.
S
u
ita
b
le
s
e
le
c
tio
n
o
f
i
n
e
r
tia
we
ig
h
t
w
p
r
o
v
id
e
s
g
o
o
d
b
a
la
n
c
e
b
e
t
w
e
e
n
g
lo
b
a
l
a
n
d
lo
c
a
l
e
x
p
lo
r
a
tio
n
s
.
m
a
x
m
i
n
m
a
x
m
a
x
w
w
w
w
i
t
e
r
i
t
e
r
(
9
)
W
h
e
r
e
,
m
a
x
w
is
th
e
v
a
lu
e
o
f
in
e
r
tia
w
e
i
g
h
t
a
t
th
e
b
e
g
in
n
i
n
g
o
f
ite
r
a
tio
n
s
,
m
i
n
w
is
t
h
e
v
a
l
u
e
o
f
i
n
e
r
tia
w
e
i
g
h
t
a
t
t
h
e
e
n
d
o
f
i
te
r
a
tio
n
s
,
th
e
v
a
l
u
e
o
f
ω
m
ax
a
n
d
ω
m
in
a
r
e
ta
k
e
n
to
b
e
e
q
u
a
l
to
0
.
9
a
n
d
0
.
5
r
e
s
p
e
c
tiv
e
l
y
,
i
t
e
r
is
th
e
c
u
r
r
e
n
t
ite
r
a
tio
n
n
u
m
b
e
r
a
n
d
ite
r
m
ax
is
t
h
e
m
a
x
i
m
u
m
n
u
m
b
e
r
o
f
ite
r
a
tio
n
s
.
5
.
I
M
P
L
E
M
E
NT
AT
I
O
N
O
F
P
RO
P
O
S
E
D
P
RO
G
RAM
C
o
n
v
e
n
t
io
n
a
ll
y
,
o
b
j
e
c
tiv
e
f
u
n
c
tio
n
i
n
c
o
o
r
d
in
a
tio
n
s
tu
d
i
e
s
is
c
o
n
s
tit
u
te
d
a
s
t
h
e
s
u
m
m
a
tio
n
o
f
o
p
e
r
a
tin
g
ti
m
e
s
o
f
a
ll
p
r
i
m
a
r
y
r
e
la
y
s
.
S
p
e
c
if
ic
to
d
ir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
,
t
h
e
o
p
ti
m
a
l
c
o
o
r
d
in
a
tio
n
p
r
o
b
le
m
d
e
te
r
m
i
n
e
s
t
w
o
p
a
r
a
m
e
te
r
s
,
th
a
t
is
,
th
e
p
ic
k
u
p
c
u
r
r
e
n
t
s
e
tti
n
g
I
P
a
n
d
th
e
ti
m
e
d
i
a
l
s
e
ttin
g
T
DS
.
T
h
e
o
b
j
e
c
tiv
e
f
u
n
c
tio
n
r
e
p
r
e
s
e
n
te
d
b
y
L
i
s
g
i
v
e
n
b
y
:
1
m
i
n
N
i
l
i
L
t
(
1
0
)
w
h
e
r
e
L
is
th
e
o
b
j
e
c
tiv
e
f
u
n
c
t
io
n
i
n
s
e
c
,
t
i
i
s
t
h
e
o
p
e
r
a
tin
g
t
i
m
e
o
f
t
h
e
it
h
r
e
la
y
,
a
n
d
N
is
th
e
to
ta
l
DO
C
R
s
i
n
th
e
s
y
s
te
m
.
T
h
e
t
w
o
v
a
r
ia
b
le
s
in
t
h
e
o
b
j
e
c
tiv
e
f
u
n
c
tio
n
a
r
e
th
e
T
DS
a
n
d
I
P.
B
y
m
i
n
i
m
iz
i
n
g
b
o
th
t
h
e
T
DS
a
n
d
I
P
w
e
c
a
n
a
b
le
to
m
i
n
i
m
iz
e
th
e
o
p
e
r
a
tin
g
ti
m
e
o
f
th
e
p
r
i
m
a
r
y
r
e
la
y
s
a
n
d
s
a
tis
f
y
in
g
th
e
c
o
o
r
d
in
a
tio
n
b
e
t
w
e
e
n
th
e
p
r
im
a
r
y
a
n
d
b
a
c
k
u
p
r
e
la
y
s
.
T
h
e
s
e
t
o
f
th
e
c
o
n
s
tr
a
in
t
s
a
r
e
a
ls
o
f
r
a
m
e
d
a
s
p
e
r
th
e
c
o
n
s
tr
a
i
n
ts
c
o
n
d
itio
n
s
m
e
n
tio
n
e
d
a
b
o
v
e
.
T
h
e
r
a
n
g
e
o
f
T
DS
’
s
is
f
r
o
m
0
.
0
1
to
1
.
0
a
n
d
f
o
r
I
P
f
r
o
m
0
.
5
to
2
.
5
.
T
h
e
C
T
I
is
s
e
t
to
a
d
e
s
ir
e
d
v
a
lu
e
o
f
0
.
3
s
e
c
.
T
h
e
v
a
r
io
u
s
s
te
p
s
i
n
v
o
l
v
e
d
i
n
th
e
i
m
p
le
m
e
n
ta
tio
n
o
f
P
S
O
to
th
e
DO
C
R
s
p
r
o
b
l
e
m
w
i
th
6
4
d
e
c
is
io
n
s
v
a
r
ia
b
le
s
a
r
e
:
S
t
e
p
1
.
I
n
p
u
t
th
e
d
a
ta
o
f
3
3
I
E
E
E
d
is
tr
ib
u
tio
n
te
s
t
s
y
s
te
m
to
c
a
lc
u
la
te
t
h
e
p
o
w
e
r
f
lo
w
a
n
d
c
u
r
r
e
n
t,
S
t
e
p
2
.
De
f
in
e
p
o
p
u
la
tio
n
s
iz
e
(
5
0
)
,
n
o
o
f
ite
r
a
tio
n
(
=
5
0
0
)
,
a
s
s
u
m
e
s
u
i
ta
b
le
v
a
l
u
e
s
o
f
P
S
O
p
a
r
a
m
e
te
r
s
.
S
t
e
p
3
.
I
n
itia
l
s
e
a
r
c
h
i
n
g
p
o
in
t
s
a
n
d
v
e
lo
c
itie
s
a
r
e
r
a
n
d
o
m
l
y
g
e
n
e
r
a
te
d
w
it
h
in
t
h
e
ir
li
m
it
s
.
P
best
is
s
e
t
to
e
a
c
h
in
itia
l
s
e
a
r
c
h
i
n
g
p
o
in
t.
T
h
e
b
e
s
t
-
e
v
a
l
u
a
te
d
v
a
l
u
e
s
a
m
o
n
g
P
be
st
is
s
e
t
to
g
best
.
S
t
e
p
4
.
Ne
w
v
e
lo
c
itie
s
a
r
e
c
a
l
c
u
la
te
d
u
s
in
g
t
h
e
e
q
u
a
tio
n
(
7
)
.
S
t
e
p
5
.
E
v
a
l
u
a
te
th
e
f
i
tn
e
s
s
v
a
lu
e
s
f
o
r
n
e
w
s
e
a
r
c
h
i
n
g
p
o
in
t
.
I
f
e
v
a
lu
a
te
d
v
a
l
u
e
s
o
f
e
a
c
h
a
g
e
n
t
is
b
e
tte
r
t
h
a
n
p
r
e
v
io
u
s
P
best
t
h
e
n
s
e
t
to
P
best
.
I
f
th
e
b
e
s
t
P
best
i
s
b
e
tte
r
th
a
n
b
e
s
t
g
best
th
e
n
s
e
t
to
g
best
.
S
t
e
p
6
.
I
f
th
e
m
a
x
i
m
u
m
ite
r
a
ti
o
n
is
r
e
a
c
h
e
d
s
to
p
th
e
p
r
o
c
e
s
s
o
th
e
r
w
is
e
g
o
to
s
te
p
3
.
6
.
CAS
E
S
T
UD
I
E
S
A
d
e
v
e
lo
p
e
d
M
a
tla
b
p
r
o
g
r
a
m
is
i
m
p
le
m
e
n
te
d
to
a
m
o
d
i
f
ie
d
3
3
-
b
u
s
(
I
E
E
E
1
2
.
6
6
k
V,
1
0
0
M
VA
)
[
1
3
]
in
o
r
d
e
r
to
c
a
lc
u
la
te
t
h
e
o
p
ti
m
a
l
c
o
o
r
d
in
a
tio
n
o
f
DO
C
R
s
u
s
i
n
g
P
S
O
u
n
d
e
r
s
y
s
te
m
c
h
a
n
g
e
s
.
T
h
is
c
h
a
n
g
e
i
s
t
h
e
v
a
r
y
i
n
g
m
o
d
e
o
f
th
e
T
C
S
C
.
T
h
e
p
r
o
g
r
a
m
is
i
m
p
le
m
e
n
te
d
f
o
r
d
if
f
e
r
e
n
t
f
ir
i
n
g
a
n
g
le
a
lp
h
a
o
f
th
e
T
C
S
C
a
n
d
t
w
o
a
n
g
le
s
f
o
r
e
a
c
h
m
o
d
e
a
r
e
s
e
le
c
te
d
.
T
h
r
e
e
p
h
a
s
e
F
a
u
lt
s
a
r
e
g
e
n
e
r
a
te
d
o
n
e
a
c
h
b
u
s
.
T
h
e
c
a
lc
u
la
tio
n
o
f
f
a
u
l
t
c
u
r
r
e
n
t
s
e
e
n
b
y
e
a
c
h
p
r
i
m
a
r
y
a
n
d
b
a
c
k
u
p
r
e
la
y
s
is
c
a
r
r
ie
d
o
u
t
,
h
o
w
e
v
e
r
n
o
b
a
c
k
u
p
r
e
la
y
e
x
is
t
s
f
o
r
r
e
la
y
s
R
1
.
Dir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
a
r
e
u
s
e
d
in
th
e
s
y
s
te
m
to
p
r
o
te
c
t
th
e
f
e
e
d
e
r
in
c
a
s
e
o
f
th
r
e
e
p
h
a
s
e
f
a
u
lts
.
T
h
e
s
in
g
le
li
n
e
d
ia
g
r
a
m
o
f
th
e
I
E
E
E
3
3
-
b
u
s
s
y
s
te
m
i
s
s
h
o
w
n
in
F
ig
u
r
e
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
6
9
4
I
J
P
E
DS
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
:
3
1
1
–
3
2
1
3
1
5
F
ig
u
r
e
3
.
S
y
s
te
m
d
ia
g
r
a
m
o
f
I
E
E
E
3
3
b
u
s
f
o
r
th
e
c
a
s
e
s
tu
d
y
T
h
e
s
y
s
te
m
c
o
n
s
i
s
ts
o
f
3
2
e
le
c
tr
o
m
e
c
h
a
n
ic
a
l
I
DM
T
Dir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
.
T
h
e
v
a
lu
e
o
f
KC
T
r
a
tio
is
g
iv
e
n
in
T
a
b
le
1
.
T
a
b
le
1
.
T
h
e
KC
T
r
a
tio
f
o
r
r
e
l
a
y
s
I
D
M
T
D
i
r
e
c
t
i
o
n
a
l
O
v
e
r
-
C
u
r
r
e
n
t
R
e
l
a
y
s
N
o
.
K
C
T
R
1
,
R
2
1
2
0
0
/
5
R
3
,
R
18
,
R
19
,
R
30
,
1
0
0
0
/
5
R
23
,
R
24
8
0
0
/
5
R
4
,
R
5
,
R
6
,
R
7
,
R
8
,
R
9
,
R
20
,
R
2
1
,
R
22
,
R
29
,
R
31
,
3
0
0
/
1
R
10
,
R
11
,
R
12
,
R
13
,
R
14
,
R
15
,
R
16
,
R
17
,
R
25
,
R
26
,
R
27
,
R
28
,
R
32
,
2
0
0
/
1
T
h
e
T
C
S
C
c
a
n
b
e
i
n
s
ta
l
le
d
a
n
y
w
h
e
r
e
i
n
t
h
e
d
is
tr
ib
u
tio
n
c
i
r
c
u
it
i
n
o
r
d
e
r
to
c
o
n
tr
o
l
th
e
p
o
w
e
r
f
lo
w
.
S
in
c
e
it
is
e
s
s
e
n
tia
ll
y
a
v
a
r
ia
b
le
r
e
a
c
ta
n
c
e
,
its
i
m
p
e
d
a
n
c
e
w
il
l
b
e
a
d
d
e
d
a
r
ith
m
e
tic
a
ll
y
to
t
h
e
s
y
s
te
m
i
m
p
e
d
a
n
c
e
a
n
d
r
e
s
u
lt
in
a
r
e
d
u
c
tio
n
o
f
th
e
f
a
u
lt
c
u
r
r
e
n
ts
.
T
h
e
s
y
s
te
m
i
s
m
o
d
i
f
ie
d
f
o
r
f
o
u
r
lo
c
a
tio
n
s
o
f
th
e
T
C
S
C
c
o
m
p
e
n
s
a
to
r
s
a
d
d
e
d
to
th
e
s
y
s
te
m
.
T
h
e
lo
c
a
tio
n
o
f
th
e
in
te
g
r
a
te
d
T
C
S
C
is
b
r
a
n
c
h
8
,
b
r
a
n
c
h
1
8
,
b
r
a
n
c
h
2
2
a
n
d
b
r
a
n
c
h
2
5
.
T
h
e
s
e
le
c
te
d
lo
c
a
tio
n
o
f
th
e
T
C
S
C
i
s
ta
k
e
n
a
r
b
itr
a
r
y
i
n
t
h
e
s
y
s
te
m
.
T
h
e
r
a
te
d
v
a
lu
e
o
f
T
C
S
C
is
a
f
u
n
c
tio
n
o
f
t
h
e
r
e
a
c
ta
n
c
e
w
h
e
r
e
th
e
T
C
S
C
is
in
s
ta
lle
d
a
n
d
e
x
p
r
e
s
s
e
d
a
s
:
T
o
t
a
l
X
=
l
i
n
e
X
+
T
C
S
C
X
(
1
1
)
W
h
e
r
e
T
C
S
C
X
=
T
C
S
C
K
.
l
i
n
e
X
(
1
2
)
X
Total
is
th
e
o
v
e
r
a
ll
li
n
e
r
e
a
c
ta
n
c
e
w
it
h
th
e
T
C
S
C
i
n
s
ta
l
le
d
.
X
TCSC
is
th
e
r
e
a
c
ta
n
c
e
o
f
th
e
T
C
S
C
a
n
d
K
TCSC
is
t
h
e
c
o
e
f
f
ic
ie
n
t
w
h
ic
h
r
e
p
r
e
s
e
n
ts
th
e
c
o
m
p
e
n
s
a
tio
n
le
v
e
l
o
f
th
e
T
C
S
C
(
-
0
.
7
≤
K
TCSC
≤
0
.
2
)
.
T
h
e
w
o
r
k
i
n
g
r
a
n
g
e
o
f
r
e
a
c
ta
n
c
e
o
f
T
C
S
C
is
f
ix
e
d
b
e
t
w
e
e
n
-
0
.
7
(
c
a
p
a
c
itiv
e
)
X
line
a
n
d
0
.
2
(
in
d
u
c
ti
v
e
)
X
line
[
1
4
]
.
T
h
e
a
p
p
a
r
e
n
t
r
e
a
c
ta
n
c
e
in
j
e
c
te
d
b
y
t
h
e
T
C
S
C
in
t
h
e
s
y
s
te
m
i
n
th
e
c
a
s
e
s
t
u
d
y
is
p
r
e
s
e
n
te
d
i
n
F
i
g
u
r
e
4
.
R
2
5
R
2
2
1
R
1
1
2
R
1
8
2
3
R
3
3
4
R
4
4
5
R
5
5
6
R
6
6
7
R
7
7
11
R
1
1
11
9
R
9
9
10
R
1
0
10
12
R
1
2
12
14
R
1
4
14
13
R
1
3
13
16
R
1
6
16
17
R
1
7
17
15
R
1
5
15
18
8
R
8
8
2
5
23
R
2
3
23
2
4
R
2
4
2
4
33
2
6
R
2
6
2
6
2
7
R
2
7
2
7
2
8
R
2
8
2
8
2
9
R
2
9
2
9
30
R
3
0
30
31
R
3
1
31
32
R
3
2
32
19
R
1
9
19
20
R
2
0
20
2
1
R
2
1
2
1
2
2
X
T
CS
C
X
T
CS
C
X
T
CS
C
X
T
CS
C
T
C
S
C
L
o
a
d
I
D
M
T
R
e
l
a
y
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
P
E
DS
I
S
S
N:
2
0
8
8
-
8
6
9
4
Op
tima
l
C
o
o
r
d
in
a
tio
n
o
f
DO
C
R
fo
r
R
a
d
ia
l
Dis
tr
ib
u
tio
n
S
y
s
te
ms
in
P
r
e
s
e
n
c
e
o
f
T
C
S
C
(
L
a
z
h
a
r
B
o
u
g
o
u
ffa
)
3
1
6
F
ig
u
r
e
4
.
C
h
a
r
a
c
te
r
is
t
ic
C
u
r
v
e
o
f
T
C
S
C
s
t
u
d
y
X
TCSC
(
α
)
.
T
h
e
th
r
e
e
-
p
h
a
s
e
f
a
u
lt
a
p
p
lie
d
a
t
b
u
s
-
9
.
F
i
g
u
r
e
5
r
e
p
r
e
s
e
n
t
s
t
h
e
v
a
r
ia
tio
n
o
f
th
e
f
a
u
lt
c
u
r
r
e
n
t
a
t
b
r
a
n
c
h
8
a
n
d
b
r
a
n
c
h
7
r
e
s
p
e
c
tiv
e
l
y
a
s
a
f
u
n
c
tio
n
o
f
a
lp
h
a
v
a
r
ie
d
f
r
o
m
9
0
°
to
1
8
0
°
in
in
d
u
c
ti
v
e
a
n
d
c
a
p
a
c
itiv
e
m
o
d
e
s
.
F
ig
u
r
e
5
.
T
h
e
v
a
r
ia
tio
n
o
f
th
e
f
a
u
lt
c
u
r
r
e
n
t
a
t
b
r
a
n
c
h
8
a
n
d
b
r
a
n
c
h
7
I
t
is
c
le
a
r
f
r
o
m
F
ig
u
r
e
5
,
t
h
a
t
th
e
r
e
is
a
n
e
f
f
e
c
t
o
f
th
e
i
n
j
e
c
te
d
r
e
a
c
ta
n
c
e
o
f
t
h
e
T
C
S
C
o
n
th
e
f
a
u
lt
c
u
r
r
e
n
t
s
e
e
n
b
y
th
e
r
e
la
y
s
wh
e
n
v
a
r
y
i
n
g
r
e
a
c
ta
n
c
e
o
f
th
e
T
C
S
C
w
i
th
r
e
s
p
e
c
t
to
f
ir
i
n
g
a
n
g
le
a
lp
h
a
.
T
h
e
o
p
e
r
a
tin
g
ti
m
e
o
f
r
e
la
y
s
i
s
v
a
r
ie
d
b
e
c
a
u
s
e
t
h
e
v
a
lu
e
o
f
f
a
u
lt
c
u
r
r
e
n
t
is
a
l
s
o
a
f
u
n
c
tio
n
o
f
T
C
S
C
in
j
e
c
te
d
r
e
a
c
ta
n
c
e
.
F
ig
u
r
e
6
s
h
o
w
s
th
a
t
t
h
e
o
p
e
r
a
tin
g
ti
m
e
s
o
f
p
r
i
m
a
r
y
R
8
a
n
d
b
a
c
k
-
u
p
r
e
la
y
s
R
7.
A
s
c
a
n
b
e
s
e
e
n
th
e
o
p
e
r
a
tin
g
ti
m
e
s
o
f
p
r
i
m
a
r
y
r
e
la
y
s
w
it
h
o
u
t
T
C
S
C
is
le
s
s
th
a
n
th
e
o
p
e
r
a
tin
g
ti
m
e
s
o
f
p
r
im
a
r
y
r
e
la
y
s
in
b
o
t
h
in
d
u
c
ti
v
e
a
n
d
c
a
p
a
c
itiv
e
m
o
d
e
,
w
h
e
r
e
th
e
f
a
u
lt
o
c
c
u
r
s
a
t
a
n
y
b
u
s
o
f
t
h
e
n
e
t
w
o
r
k
in
t
h
e
p
r
e
s
e
n
c
e
o
f
t
h
e
T
C
S
C
.
9
0
1
0
0
1
1
0
1
2
0
1
3
0
1
4
0
1
5
0
1
6
0
1
7
0
1
8
0
-
0
.
1
5
-
0
.
1
-
0
.
0
5
0
0
.
0
5
0
.
1
X
:
1
3
9
Y
:
0
.
0
9
3
2
1
(
°
)
X
T
C
S
C
(
K
)
X
:
1
4
0
Y
:
-
0
.
1
2
3
2
X
:
1
8
0
Y
:
-
0
.
0
0
1
6
5
7
X
:
9
0
Y
:
0
.
0
0
8
7
5
2
X
:
1
3
6
Y
:
0
.
0
1
8
2
8
X
:
1
4
4
Y
:
-
0
.
0
0
9
0
4
1
9
0
1
0
0
1
1
0
1
2
0
1
3
0
1
4
0
1
5
0
1
6
0
1
7
0
1
8
0
1
.
5
2
2
.
5
3
3
.
5
4
4
.
5
5
5
.
5
(
°
)
T
h
r
e
e
p
h
a
s
e
C
u
r
r
e
n
t
s
(
K
A
)
F
a
u
l
t
a
t
b
r
a
n
c
h
-
8
F
a
u
l
t
a
t
b
r
a
n
c
h
-
7
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
6
9
4
I
J
P
E
DS
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
:
3
1
1
–
3
2
1
3
1
7
F
ig
u
r
e
6
.
Op
e
r
a
tin
g
ti
m
e
’
s
c
h
a
r
a
c
te
r
is
tic
s
o
f
R
8
a
n
d
R
7
f
o
r
f
a
u
lt
a
t
b
u
s
-
9
w
it
h
o
u
t
a
n
d
w
it
h
T
C
S
C
7
.
RE
S
U
L
T
S
A
ND
D
I
S
CU
S
S
I
O
N
I
n
o
r
d
e
r
to
illu
s
tr
a
te
t
h
e
e
f
f
e
c
ts
o
f
th
e
T
C
S
C
in
s
e
r
tio
n
in
t
h
e
d
is
tr
ib
u
tio
n
s
y
s
te
m
o
n
t
h
e
s
e
ttin
g
o
f
DOC
R
s
,
d
i
f
f
e
r
e
n
t
lo
c
a
tio
n
s
a
r
e
c
h
o
s
e
n
f
o
r
t
h
e
T
C
S
C
.
F
o
r
t
h
is
p
u
r
p
o
s
e
,
b
r
a
n
c
h
e
s
8
1
8
,
2
2
a
n
d
2
5
o
f
t
h
e
m
o
s
t
i
m
p
o
r
ta
n
t
f
e
e
d
e
r
o
f
th
e
d
is
tr
ib
u
tio
n
s
y
s
te
m
a
r
e
s
e
le
c
te
d
to
c
o
m
p
e
n
s
a
te
d
.
T
h
e
n
e
t
w
o
r
k
u
s
e
d
f
o
r
th
e
r
e
l
a
y
c
o
o
r
d
in
a
tio
n
s
t
u
d
y
is
s
h
o
w
n
i
n
F
i
g
u
r
e
3
.
T
h
e
r
e
la
y
c
o
o
r
d
in
a
tio
n
i
s
c
a
r
r
ie
d
o
u
t
u
s
i
n
g
P
S
O
w
it
h
th
e
p
r
o
c
e
s
s
o
f
c
o
o
r
d
in
a
tio
n
d
e
s
c
r
ib
e
d
b
e
f
o
r
e
.
T
a
b
le
I
I
s
h
o
w
s
t
h
e
o
p
ti
m
u
m
s
e
tt
in
g
v
a
lu
e
s
o
f
r
e
la
y
s
'
T
DS
s
f
o
u
n
d
b
y
u
s
i
n
g
P
S
O.
T
h
e
e
f
f
e
c
t
o
f
t
h
e
T
C
S
C
o
n
th
e
r
e
la
y
s
s
e
t
tin
g
s
c
a
n
b
e
s
h
o
w
n
b
y
c
o
m
p
a
r
i
n
g
t
h
e
r
e
s
u
lts
w
it
h
a
n
d
w
it
h
o
u
t
i
n
te
g
r
a
tio
n
t
h
e
c
o
m
p
e
n
s
a
to
r
in
t
h
e
s
y
s
te
m
f
o
r
d
i
f
f
e
r
e
n
t
p
e
n
e
tr
a
tio
n
.
T
h
e
o
p
tim
u
m
v
a
l
u
e
s
o
f
T
DS
a
n
d
I
P
o
f
a
ll
r
e
la
y
s
o
b
ta
i
n
e
d
i
n
t
h
is
p
r
o
c
e
s
s
w
a
s
r
e
p
e
a
te
d
f
o
r
a
ll
p
o
s
s
ib
le
v
a
l
u
e
s
o
f
f
ir
i
n
g
a
n
g
le
a
lp
h
a
o
f
T
C
S
C
.
A
s
c
a
n
b
e
s
e
e
e
a
c
h
r
e
la
y
h
a
v
e
a
c
o
n
s
ta
n
t
o
p
e
r
a
tin
g
ti
m
e
f
o
r
t
w
o
s
e
le
c
te
d
d
if
f
e
r
e
n
t
a
n
g
le
s
in
e
a
c
h
m
o
d
e
in
c
a
s
e
o
f
t
h
r
e
e
-
p
h
a
s
e
f
a
u
lt
s
a
n
d
th
e
c
o
o
r
d
in
a
tio
n
ti
m
e
i
n
t
e
r
v
a
l
is
a
l
w
a
y
s
a
t
a
m
i
n
i
m
u
m
.
T
a
b
le
2
s
h
o
w
s
t
h
e
o
p
ti
m
a
l
r
e
s
u
lts
o
f
T
DS
s
i
n
p
r
e
s
e
n
c
e
o
f
T
C
S
C
i
n
s
ta
lla
tio
n
i
n
f
o
u
r
lo
c
a
ti
o
n
s
o
f
3
3
-
b
u
s
d
is
tr
ib
u
t
io
n
s
y
s
te
m
.
T
a
b
l
e
3
s
h
o
w
s
c
o
m
p
a
r
a
tiv
e
r
e
s
u
lt
s
b
e
t
w
e
e
n
th
e
o
p
ti
m
a
l
p
ic
k
u
p
c
u
r
r
e
n
t
I
P
w
ith
o
u
t
a
n
d
w
it
h
T
C
S
C
f
o
r
d
if
f
e
r
e
n
t
f
ir
in
g
a
n
g
le
in
th
e
i
n
d
u
c
ti
v
e
a
n
d
c
a
p
a
c
itiv
e
m
o
d
e
.
As
c
a
n
b
e
s
e
e
n
th
e
r
e
is
a
n
e
f
f
e
c
t
o
f
t
h
e
T
C
S
C
c
o
m
p
e
n
s
a
t
o
r
o
n
th
e
s
e
tti
n
g
o
f
p
ic
k
u
p
c
u
r
r
e
n
t.
I
n
s
y
s
te
m
p
r
o
te
c
tio
n
th
e
m
a
in
g
o
a
l
o
f
r
e
la
y
s
c
o
o
r
d
in
a
tio
n
i
s
th
e
s
e
tti
n
g
o
f
r
e
la
y
s
s
u
c
h
th
a
t
m
i
n
i
m
u
m
r
e
la
y
o
p
e
r
a
tin
g
ti
m
e
is
a
c
h
ie
v
e
d
a
n
d
th
e
w
h
o
le
o
f
s
y
s
te
m
a
r
e
u
n
d
e
r
p
r
i
m
a
r
y
a
n
d
b
a
c
k
u
p
p
r
o
te
c
tio
n
.
A
l
s
o
th
e
C
o
o
r
d
in
a
tio
n
T
i
m
e
I
n
te
r
v
a
l
(
C
T
I
)
b
e
t
w
e
e
n
p
r
i
m
a
r
y
a
n
d
b
a
c
k
u
p
r
e
la
y
s
is
s
a
tis
f
ie
d
(
i.
e
.
,
C
T
I
≥
0
.
3
)
a
s
s
h
o
w
n
in
T
a
b
le
4
.
1
0
-1
1
0
0
1
0
1
1
0
2
1
0
-2
1
0
-1
1
0
0
M
u
l
t
i
p
l
e
o
f
P
i
c
k
u
p
C
u
r
r
e
n
t
(
A
)
O
p
e
r
a
t
i
n
g
t
i
m
e
s
(
s
)
P
R
C
B
R
C
O
p
e
r
a
t
i
n
g
T
i
m
e
o
f
R
8
W
i
t
h
o
u
t
T
C
S
C
O
p
e
r
a
t
i
n
g
T
i
m
e
o
f
R
7
W
i
t
h
o
u
t
T
C
S
C
O
p
e
r
a
t
i
n
g
T
i
m
e
o
f
R
8
W
i
t
h
T
C
S
C
O
p
e
r
a
t
i
n
g
T
i
m
e
o
f
R
7
W
i
t
h
T
C
S
C
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
P
E
DS
I
S
S
N:
2
0
8
8
-
8
6
9
4
Op
tima
l
C
o
o
r
d
in
a
tio
n
o
f
DO
C
R
fo
r
R
a
d
ia
l
Dis
tr
ib
u
tio
n
S
y
s
te
ms
in
P
r
e
s
e
n
c
e
o
f
T
C
S
C
(
L
a
z
h
a
r
B
o
u
g
o
u
ffa
)
3
1
8
T
a
b
le
2
.
S
e
ttin
g
s
Va
lu
e
s
o
f
R
e
la
y
’
s
T
DS
s
Us
i
n
g
P
S
O
S
e
t
t
i
n
g
o
f
T
D
S
W
i
t
h
o
u
t
T
C
S
C
I
n
d
u
c
t
i
v
e
m
o
d
e
C
a
p
a
c
i
t
i
v
e
m
o
d
e
R
e
l
a
y
s
α
=
9
0
°
α
=
1
3
5
°
α
=
1
3
6
°
α
=
1
8
0
°
R
1
0
.
5
0
0
0
0
.
5
0
0
0
0
.
5
0
0
0
0
.
5
0
0
0
0
.
5
0
0
0
R
2
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
R
3
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
R
4
0
.
3
3
0
0
0
.
3
3
0
0
0
.
3
3
0
0
0
.
3
3
0
0
0
.
3
3
0
0
R
5
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
4
0
0
R
6
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
R
7
0
.
2
7
0
0
0
.
2
7
0
0
0
.
2
7
0
0
0
.
2
7
0
0
0
.
2
7
0
0
R
8
0
.
2
4
0
0
0
.
1
7
0
0
0
.
0
5
0
0
0
.
1
2
0
0
0
.
3
3
0
0
R
9
0
.
3
1
0
0
0
.
5
7
0
0
0
.
3
8
0
0
0
.
4
1
0
0
0
.
3
1
0
0
R
10
0
.
4
6
0
0
0
.
4
8
0
0
0
.
5
7
0
0
0
.
5
1
0
0
0
.
4
5
0
0
R
11
0
.
4
2
0
0
0
.
4
4
0
0
0
.
5
2
0
0
0
.
4
5
0
0
0
.
4
2
0
0
R
12
0
.
3
0
0
0
0
.
3
2
0
0
0
.
4
0
0
0
0
.
3
3
0
0
0
.
3
1
0
0
R
13
0
.
3
4
0
0
0
.
3
6
0
0
0
.
4
5
0
0
0
.
3
9
0
0
0
.
3
4
0
0
R
14
0
.
3
7
0
0
0
.
3
3
0
0
0
.
4
1
0
0
0
.
3
3
0
0
0
.
3
1
0
0
R
15
0
.
3
6
0
0
0
.
3
8
0
0
0
.
4
5
0
0
0
.
3
7
0
0
0
.
3
6
0
0
R
16
0
.
3
0
0
0
0
.
3
1
0
0
0
.
3
9
0
0
0
.
3
1
0
0
0
.
2
9
0
0
R
17
0
.
3
2
0
0
0
.
3
7
0
0
0
.
4
5
0
0
0
.
3
7
0
0
0
.
3
5
0
0
R
18
0
.
4
0
0
0
0
.
2
4
0
0
0
.
0
7
0
0
0
.
0
8
0
0
0
.
4
0
0
0
R
19
0
.
2
6
0
0
0
.
2
2
0
0
0
.
1
7
0
0
0
.
1
7
0
0
0
.
2
7
0
0
R
20
0
.
3
5
0
0
0
.
3
3
0
0
0
.
3
7
0
0
0
.
3
5
0
0
0
.
2
6
0
0
R
21
0
.
3
2
0
0
0
.
3
1
0
0
0
.
3
3
0
0
0
.
3
0
0
0
0
.
3
0
0
0
R
22
0
.
3
3
0
0
0
.
2
4
0
0
0
.
0
9
0
0
0
.
0
9
0
0
0
.
3
4
0
0
R
23
0
.
2
9
0
0
0
.
2
5
0
0
0
.
0
5
0
0
0
.
0
5
0
0
0
.
3
0
0
0
R
24
0
.
2
8
0
0
0
.
3
0
0
0
0
.
3
2
0
0
0
.
3
1
0
0
0
.
2
8
0
0
R
25
0
.
4
3
0
0
0
.
3
9
0
0
0
.
2
6
0
0
0
.
2
7
0
0
0
.
4
3
0
0
R
26
0
.
4
4
0
0
0
.
4
4
0
0
0
.
3
8
0
0
0
.
4
4
0
0
0
.
4
4
0
0
R
27
0
.
3
2
0
0
0
.
3
2
0
0
0
.
2
6
0
0
0
.
3
0
0
0
0
.
3
3
0
0
R
28
0
.
3
3
0
0
0
.
3
2
0
0
0
.
2
7
0
0
0
.
3
5
0
0
0
.
3
3
0
0
R
29
0
.
3
4
0
0
0
.
3
4
0
0
0
.
3
7
0
0
0
.
3
1
0
0
0
.
3
4
0
0
R
30
0
.
2
6
0
0
0
.
2
6
0
0
0
.
2
8
0
0
0
.
2
3
0
0
0
.
2
6
0
0
R
31
0
.
3
3
0
0
0
.
3
3
0
0
0
.
3
5
0
0
0
.
3
0
0
0
0
.
3
3
0
0
R
32
0
.
4
2
0
0
0
.
4
2
0
0
0
.
4
4
0
0
0
.
4
0
0
0
0
.
4
2
0
0
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2
0
8
8
-
8
6
9
4
I
J
P
E
DS
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
:
3
1
1
–
3
2
1
3
1
9
T
a
b
le
3
.
S
e
ttin
g
s
Va
lu
e
s
o
f
R
e
la
y
’
s
I
p
Us
i
n
g
P
S
O
S
e
t
t
i
n
g
o
f
I
P
W
i
t
h
o
u
t
T
C
S
C
I
n
d
u
c
t
i
v
e
m
o
d
e
C
a
p
a
c
i
t
i
v
e
m
o
d
e
R
e
l
a
y
s
α
=
9
0
°
α
=
1
3
5
°
α
=
1
3
6
°
α
=
1
8
0
°
R
1
0
.
7
3
0
0
0
.
7
3
0
0
0
.
7
3
0
0
0
.
7
3
0
0
0
.
7
3
0
0
R
2
0
.
7
5
0
0
0
.
7
5
0
0
0
.
7
5
0
0
0
.
7
5
0
0
0
.
7
5
0
0
R
3
1
.
0
4
0
0
1
.
0
4
0
0
1
.
0
4
0
0
1
.
0
4
0
0
1
.
0
4
0
0
R
4
0
.
8
1
0
0
0
.
8
1
0
0
0
.
8
1
0
0
0
.
8
1
0
0
0
.
8
1
0
0
R
5
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
R
6
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
0
.
3
5
0
0
R
7
1
.
0
7
0
0
1
.
0
7
0
0
1
.
0
7
0
0
1
.
0
7
0
0
1
.
0
7
0
0
R
8
1
.
0
1
0
0
1
.
0
8
0
0
1
.
0
1
0
0
0
.
3
6
0
0
0
.
3
7
0
0
R
9
0
.
3
6
0
0
0
.
3
6
0
0
0
.
3
8
0
0
0
.
3
4
0
0
0
.
3
8
0
0
R
10
0
.
5
2
0
0
0
.
5
2
0
0
0
.
5
4
0
0
0
.
5
3
0
0
0
.
5
6
0
0
R
11
0
.
5
6
0
0
0
.
5
3
0
0
0
.
5
4
0
0
0
.
5
4
0
0
0
.
5
4
0
0
R
12
0
.
5
4
0
0
0
.
5
1
0
0
0
.
5
1
0
0
0
.
5
1
0
0
0
.
5
1
0
0
R
13
0
.
5
6
0
0
0
.
5
5
0
0
0
.
5
5
0
0
0
.
5
1
0
0
0
.
5
3
0
0
R
14
0
.
5
2
0
0
1
.
0
5
0
0
1
.
0
6
0
0
1
.
1
4
0
0
1
.
0
8
0
0
R
15
0
.
5
3
0
0
0
.
5
0
0
0
0
.
5
6
0
0
0
.
5
6
0
0
0
.
5
1
0
0
R
16
0
.
5
0
0
0
0
.
5
3
0
0
0
.
5
1
0
0
0
.
5
1
0
0
0
.
5
5
0
0
R
17
0
.
8
3
0
0
0
.
5
3
0
0
0
.
5
4
0
0
0
.
5
6
0
0
0
.
5
4
0
0
R
18
1
.
2
2
0
0
1
.
2
3
0
0
1
.
2
4
0
0
1
.
1
1
0
0
1
.
1
5
0
0
R
19
1
.
0
3
0
0
0
.
9
5
0
0
0
.
9
6
0
0
1
.
0
4
0
0
1
.
0
4
0
0
R
20
0
.
5
0
0
0
0
.
5
2
0
0
0
.
5
6
0
0
0
.
5
7
0
0
0
.
5
2
0
0
R
21
0
.
5
5
0
0
0
.
5
1
0
0
0
.
5
2
0
0
0
.
5
5
0
0
0
.
5
3
0
0
R
22
0
.
9
8
0
0
1
.
0
3
0
0
1
.
0
6
0
0
0
.
9
8
0
0
0
.
9
4
0
0
R
23
1
.
0
2
0
0
1
.
0
2
0
0
0
.
9
6
0
0
0
.
9
5
0
0
1
.
0
3
0
0
R
24
1
.
0
1
0
0
0
.
9
8
0
0
0
.
9
6
0
0
1
.
0
7
0
0
1
.
0
4
0
0
R
25
0
.
5
2
0
0
0
.
5
3
0
0
0
.
5
6
0
0
0
.
5
4
0
0
0
.
5
6
0
0
R
26
0
.
5
5
0
0
0
.
5
2
0
0
0
.
5
4
0
0
0
.
5
2
0
0
0
.
5
5
0
0
R
27
0
.
5
7
0
0
0
.
5
1
0
0
0
.
5
1
0
0
0
.
5
7
0
0
0
.
5
1
0
0
R
28
0
.
5
2
0
0
0
.
5
6
0
0
0
.
5
3
0
0
0
.
5
3
0
0
0
.
5
2
0
0
R
29
0
.
7
2
0
0
0
.
7
4
0
0
0
.
6
8
0
0
0
.
7
1
0
0
0
.
7
1
0
0
R
30
1
.
5
6
0
0
1
.
6
0
0
0
1
.
5
7
0
0
1
.
6
3
0
0
1
.
5
5
0
0
R
31
1
.
0
9
0
0
1
.
1
3
0
0
1
.
1
3
0
0
1
.
1
4
0
0
1
.
0
9
0
0
R
32
0
.
5
1
0
0
0
.
5
2
0
0
0
.
5
0
0
0
0
.
5
0
0
0
0
.
5
1
0
0
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
P
E
DS
I
S
S
N:
2
0
8
8
-
8
6
9
4
Op
tima
l
C
o
o
r
d
in
a
tio
n
o
f
DO
C
R
fo
r
R
a
d
ia
l
Dis
tr
ib
u
tio
n
S
y
s
te
ms
in
P
r
e
s
e
n
c
e
o
f
T
C
S
C
(
L
a
z
h
a
r
B
o
u
g
o
u
ffa
)
3
2
0
T
a
b
le
4
.
C
o
o
r
d
in
a
tio
n
T
im
e
I
n
te
r
v
a
l
o
f
E
a
c
h
P
/B
P
a
ir
o
f
R
e
la
y
s
C
o
o
r
d
i
n
a
t
i
o
n
T
i
m
e
I
n
t
e
r
v
a
l
(
C
TI
)
(
se
c
)
P
/
B
W
i
t
h
o
u
t
T
C
S
C
α
=
9
0
°
α
=
1
3
5
°
α
=
1
3
6
°
α
=
1
8
0
°
R
32
R
31
0
.
3
2
0
6
0
.
3
0
0
2
0
.
3
1
9
9
0
.
2
9
9
1
0
.
3
0
0
9
R
31
R
30
0
.
2
9
9
9
0
.
3
0
0
9
0
.
3
5
2
2
0
.
3
0
0
2
0
.
3
0
1
2
R
30
R
29
0
.
3
0
1
1
0
.
2
9
9
4
0
.
2
9
9
4
0
.
3
2
2
2
0
.
3
0
1
7
R
29
R
28
0
.
3
0
0
8
0
.
3
1
7
4
0
.
2
9
9
1
0
.
3
0
0
3
0
.
3
1
8
2
R
28
R
27
0
.
3
0
0
7
0
.
3
0
0
8
0
.
3
0
0
9
0
.
3
0
0
2
0
.
3
2
2
3
R
27
R
26
0
.
3
0
0
5
0
.
3
0
1
0
0
.
3
2
8
2
0
.
3
0
1
0
0
.
2
9
9
0
R
26
R
25
0
.
3
1
1
5
0
.
3
0
1
5
0
.
3
0
0
4
0
.
3
0
0
1
0
.
2
9
9
5
R
25
R
5
0
.
3
0
2
2
0
.
3
0
1
7
0
.
2
9
9
8
0
.
3
1
7
2
0
.
2
9
9
0
R
24
R
23
0
.
3
0
0
2
0
.
2
9
9
8
0
.
2
9
9
4
0
.
2
9
9
8
0
.
3
0
0
7
R
23
R
22
0
.
3
0
0
1
0
.
3
0
0
5
0
.
2
9
9
6
0
.
3
5
0
8
0
.
2
9
9
9
R
22
R
2
0
.
3
1
5
9
0
.
3
0
0
3
0
.
3
0
1
0
0
.
3
0
0
9
0
.
3
0
0
7
R
21
R
20
0
.
2
9
9
6
0
.
3
1
8
4
0
.
3
0
1
7
0
.
2
9
9
2
0
.
2
9
9
8
R
20
R
19
0
.
3
0
1
1
0
.
3
0
0
4
0
.
3
0
0
2
0
.
3
0
0
2
0
.
3
0
1
1
R
19
R
18
0
.
2
9
9
9
0
.
3
0
0
3
0
.
3
0
0
2
0
.
3
0
1
5
0
.
2
9
9
6
R
18
R
1
0
.
2
9
9
4
0
.
2
9
9
5
0
.
3
6
5
2
0
.
3
6
5
5
0
.
3
0
0
5
R
17
R
16
0
.
3
0
2
1
0
.
3
0
1
4
0
.
3
3
6
7
0
.
3
6
8
6
0
.
3
3
8
3
R
16
R
15
0
.
3
8
7
7
0
.
3
0
3
6
0
.
4
5
4
7
0
.
3
5
9
0
0
.
3
0
3
6
R
15
R
14
0
.
2
9
9
1
0
.
3
0
1
1
0
.
3
4
7
6
0
.
2
9
9
8
0
.
3
5
9
7
R
14
R
13
0
.
3
0
1
1
0
.
2
9
9
1
0
.
3
1
8
7
0
.
3
0
0
1
0
.
2
9
9
6
R
13
R
12
0
.
3
0
0
1
0
.
2
9
9
9
0
.
3
2
9
8
0
.
2
9
9
4
0
.
2
9
9
3
R
12
R
11
0
.
3
0
0
2
0
.
3
0
0
2
0
.
3
0
4
2
0
.
2
9
9
5
0
.
3
3
7
3
R
11
R
10
0
.
2
9
9
4
0
.
2
9
9
1
0
.
2
9
9
9
0
.
3
0
0
8
0
.
3
0
0
5
R
10
R
9
0
.
3
0
3
3
0
.
3
0
1
6
0
.
2
9
9
0
0
.
3
0
1
5
0
.
3
2
1
5
R
9
R
8
0
.
3
0
0
3
0
.
3
0
0
0
0
.
3
0
2
5
0
.
3
0
0
1
0
.
3
0
0
5
R
8
R
7
0
.
3
0
3
6
0
.
2
9
9
7
0
.
3
0
1
1
0
.
2
9
9
8
0
.
3
0
0
1
R
7
R
6
0
.
3
0
0
3
0
.
3
0
0
3
0
.
3
0
0
3
0
.
3
0
0
3
0
.
3
0
0
3
R
6
R
5
0
.
3
1
8
4
0
.
3
1
8
4
0
.
3
1
8
4
0
.
3
1
8
4
0
.
3
1
8
4
R
5
R
4
0
.
3
0
0
5
0
.
3
0
0
5
0
.
3
0
0
5
0
.
3
0
0
5
0
.
3
0
0
5
R
4
R
3
0
.
2
9
9
4
0
.
2
9
9
4
0
.
2
9
9
4
0
.
2
9
9
4
0
.
2
9
9
4
R
3
R
2
0
.
2
9
9
7
0
.
2
9
9
7
0
.
2
9
9
7
0
.
2
9
9
7
0
.
2
9
9
7
R
2
R
1
0
.
3
0
0
2
0
.
3
0
0
2
0
.
3
0
0
2
0
.
3
0
0
2
0
.
3
0
0
2
T
h
e
c
o
o
r
d
in
a
tio
n
ti
m
e
i
n
te
r
v
a
l
o
f
s
o
m
e
c
o
m
b
in
a
tio
n
o
f
r
e
la
y
s
is
v
e
r
if
ie
d
f
o
r
a
3
3
b
u
s
s
y
s
t
e
m
.
W
h
e
n
a
f
a
u
lt
o
c
c
u
r
s
in
z
o
n
e
o
f
R
1
6
th
e
r
e
is
s
u
f
f
ic
ie
n
t
C
T
I
m
a
r
g
i
n
(
0
.
4
5
4
7
s
a
t
α
=
1
3
5
°
)
f
o
r
b
a
c
k
u
p
r
e
la
y
R
1
5
to
o
p
e
r
a
te
.
8
.
CO
NCL
U
S
I
O
N
I
n
th
i
s
p
a
p
e
r
,
a
P
S
O
a
lg
o
r
ith
m
h
a
s
b
e
e
n
p
r
e
s
e
n
te
d
to
d
e
te
r
m
i
n
e
th
e
c
o
o
r
d
in
a
tio
n
o
f
d
ir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
i
n
p
r
e
s
e
n
c
e
o
f
F
A
C
T
S
d
e
v
is
e
s
.
F
r
o
m
th
e
s
i
m
u
la
tio
n
r
e
s
u
l
t
s
a
n
d
a
n
a
l
y
s
is
,
th
e
i
m
p
a
c
t
o
f
th
e
T
C
S
C
o
n
o
v
e
r
-
c
u
r
r
e
n
t
p
r
o
te
c
tio
n
r
e
la
y
is
o
b
s
e
r
v
e
d
o
n
th
e
o
p
ti
m
a
l
r
e
la
y
s
s
e
tti
n
g
s
.
M
o
r
e
o
v
e
r
th
e
r
e
la
y
s
s
e
tti
n
g
s
d
e
p
e
n
d
o
n
t
h
e
s
y
s
te
m
lo
c
a
tio
n
a
s
w
e
ll
a
s
o
n
w
h
ic
h
m
o
d
e
i
s
o
p
e
r
a
tin
g
a
t
th
e
ti
m
e
o
f
f
a
u
lt.
T
h
e
r
e
f
o
r
e
c
a
r
e
m
u
s
t
b
e
ta
k
e
n
in
o
r
d
e
r
to
e
n
s
u
r
e
s
u
c
c
e
s
s
f
u
ll
p
r
o
te
c
te
d
z
o
n
e
.
T
h
e
p
e
r
f
o
r
m
a
n
c
e
o
f
t
h
e
p
r
o
p
o
s
e
d
P
S
O
b
a
s
e
d
a
lg
o
r
ith
m
i
s
e
v
a
l
u
a
te
d
.
T
h
e
r
e
s
u
lt
s
s
h
o
w
t
h
e
e
f
f
e
c
ti
v
e
n
e
s
s
o
f
t
h
e
p
r
o
p
o
s
e
d
a
lg
o
r
ith
m
in
f
i
n
d
in
g
o
p
ti
m
a
l
c
o
o
r
d
in
a
tio
n
o
f
d
ir
e
c
tio
n
a
l
o
v
e
r
-
c
u
r
r
e
n
t
r
e
la
y
s
.
RE
F
E
R
E
NC
E
S
[1
]
A
.
V
.
M
e
i
e
r,
E
l
e
c
t
r
i
c
p
o
we
r
s
y
s
t
e
m
s
,
IS
BN
-
1
3
:
9
7
8
-
0
-
4
7
1
-
1
7
8
5
9
-
0
,
b
y
J
o
h
n
W
i
l
e
y
&
S
o
n
s
.
2
0
0
6
.
[2
]
D
.
Bi
rl
a
,
R.
P
.
M
a
h
e
s
h
w
a
ri
,
H
.
O
.
G
u
p
t
a
,
“
T
i
m
e
-
o
v
e
r
-
c
u
rre
n
t
re
l
a
y
c
o
o
rd
i
n
a
t
i
o
n
:
a
re
v
i
e
w
,
”
In
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
E
m
e
r
g
i
n
g
E
l
e
c
t
r
i
c
a
l
P
o
we
r
S
y
s
t
e
m
(
IJ
E
E
P
S
)
,
V
o
l
.
2
,
2
0
0
5
.
[3
]
A
.
Ra
t
h
i
n
a
m
,
D
.
S
a
t
t
i
a
n
a
d
a
n
a
n
d
K
.
V
i
j
a
y
a
k
u
m
a
r.
“
O
p
t
i
m
a
l
Co
o
rd
i
n
a
t
i
o
n
o
f
D
i
re
c
t
i
o
n
a
l
O
v
e
r
-
c
u
rre
n
t
Re
l
a
y
s
u
s
i
n
g
P
a
rt
i
c
l
e
S
w
a
r
m
O
p
t
i
m
i
z
a
t
i
o
n
T
e
c
h
n
i
q
u
e
,
”
In
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
Co
m
p
u
t
e
r
A
p
p
l
i
c
a
t
i
o
n
s
(
IJ
CA
)
.
V
o
l
1
0
,
N
o
.
2
,
p
p
4
3
-
4
7
,
2
0
1
0
.
[4
]
P
.
P
.
Be
d
e
k
a
r,
S
.
R.
Bh
i
d
e
.
“
O
p
t
i
m
u
m
c
o
o
rd
i
n
a
t
i
o
n
o
f
o
v
e
r
-
c
u
rre
n
t
re
l
a
y
t
i
m
i
n
g
u
s
i
n
g
c
o
n
t
i
n
u
o
u
s
g
e
n
e
t
i
c
a
l
g
o
ri
t
h
m
,
”
E
x
p
e
r
t
S
y
s
t
e
m
s
wi
t
h
A
p
p
l
i
c
a
t
i
o
n
s
V
o
l
.
3
8
.
p
p
1
1
2
8
6
–
1
1
2
9
2
.
2
0
1
1
.
[5
]
P
.
M
.
A
n
d
e
rs
o
n
,
“
P
o
w
e
r
S
y
s
t
e
m
P
r
o
t
e
c
t
i
o
n
,
”
M
c
G
ra
w
-
H
i
l
l
,
N
e
w
Y
o
rk
,
1
9
9
9
.
[6
]
A
.
S
.
N
o
g
h
a
b
i
,
H
.
R.
M
a
s
h
h
a
d
i
,
J
.
S
a
d
e
h
,
“
O
p
t
i
m
a
l
Co
o
r
d
i
n
a
t
i
o
n
o
f
D
i
re
c
t
i
o
n
a
l
O
v
e
r
-
c
u
rre
n
t
Re
l
a
y
s
C
o
n
s
i
d
e
ri
n
g
D
i
ff
e
r
e
n
t
N
e
t
w
o
rk
T
o
p
o
l
o
g
i
e
s
u
s
i
n
g
In
t
e
rv
a
l
L
i
n
e
a
r
P
ro
g
ra
m
m
i
n
g
,
”
IE
E
E
T
r
a
n
s
a
c
t
i
o
n
s
o
n
P
o
we
r
D
e
l
i
v
e
r
y
.
V
o
l
.
2
5
N
o
3
.
p
p
.
1
3
4
8
-
1
3
5
4
.
2
0
1
0
.
Evaluation Warning : The document was created with Spire.PDF for Python.